which are dependant???

Question

Given the following probabilities, determine whether the events A and B are independent or dependent.

Group of answer choices

A and B are dependent. We know this is true because .

A and B are independent. We know this is true because .

A and B are independent. We know this is true because .

A and B are dependent. We know this is true because .

Answer 1

The first answer is correct, i.e., A and B are independent events.

A definition of independence is that: P(A and B) = P(A) x P(B).

This is because *any* example of event A can occur with *any* example of event B.

For example, if A is the event "throw a die and get a 6" and B is the event "draw a card from a shuffled deck and get an ace", then P([a 6] and [an ace]) = P(6 on the die) x P(ace from the deck) = 1/6 x 4/52